Turkish Journal of Mathematics
DOI
-
Abstract
There is only one pair of non-real zeros of $\zeta^{''}(s)$, and of $\zeta^{'''}(s)$, in the left half-plane. The Riemann Hypothesis implies that $\zeta''(s)$ and $\zeta'''(s)$ have no zeros in the strip $0 \leq \Re\,s < {1\over 2} $.
First Page
89
Last Page
108
Recommended Citation
YILDIRIM, CEM YALÇIN (2000) "Zeros of \zeta^{''}(s) & \zeta^{'''}(s) in \sigma< 1/2," Turkish Journal of Mathematics: Vol. 24: No. 1, Article 7. Available at: https://journals.tubitak.gov.tr/math/vol24/iss1/7